What were the various goals of the colonial European powers in the expansion of their empires? To what extent were they able to achieve these goals? Where did they fail?

The various goals of the colonial European powers in the expansion of their empires were:

This refers to the process of overtaking another country by a much more stronger entity who then rules over them.

With this in mind, we can see that European powers had different reasons for colonising smaller countries and the main reason was economic reasons.

Read more about colonial powers here:

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The main goal was economic, was to extract resources from the colony, and take them to the mother country (the European power). These resources could be gold, silver, sugar, tobacco, cotton, and so on.

This goal was achieved by all European Powers, in many cases for hundreds of years. European powers benefited from this extraction of resources up to this day.

Another goal, but secondary, was to implant European culture in the colonies.

In some colonies, this was achieved, for example, the English colonies in North America, which is the origin of the United States, had a very western culture.

In other colonies, this was not achieved. For example, India was a colony of England, and while English culture has influenced India in some ways, the culture of Indian is still predominantly native.

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in mcculloch v. maryland (1819) the supreme court ruled that congress had implied powers under the necessary and proper clause of article i, section 8 of the constitution to create the second bank of the united states and that the state of maryland lacked the power to tax the bank.

gibbons v. ogden, (1824), was a landmark decision in which the supreme court of the united states held that the power to regulate interstate commerce, granted to congress by the commerce clause of the united states constitution, encompassed the power to regulate navigation.